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Finding the Fourth Proportional to 186.93, 280.70 and 135.81

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Solution

The fourth proportional to 186.93, 280.70 and 135.81 is: 203.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.93 : 280.70 = 135.81 : x
  2. Step 2: Convert to fraction form
    186.93/280.70 = 135.81/x
  3. Step 3: Cross multiply
    186.93x = 280.70 × 135.81
  4. Step 4: Simplify right side
    186.93x = 38,121.19
  5. Step 5: Solve for x
    x = 38,121.19/186.93
  6. Step 6: Final answer
    x = 203.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.